Transformations of some Gauss hypergeometric functions
نویسندگان
چکیده
منابع مشابه
Transformations of some Gauss hypergeometric functions
This paper presents explicit algebraic transformations of some Gauss hypergeometric functions. Specifically, the transformations considered apply to hypergeometric solutions of hypergeometric differential equations with the local exponent differences 1/k, 1/l, 1/m such that k, l,m are positive integers and 1/k + 1/l+ 1/m < 1. All algebraic transformations of these Gauss hypergeometric functions...
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Throughout the paper, we denote this equation by E(a, b, c). Since Kummer we know that in general there are 24 hypergeometric series which express solutions of E(a, b, c). The subject of this paper is Gauss hypergeometric functions when some or all of the numbers a, b, c, c − a, c − b, a − b, c − a − b are integers. We refer to these functions and to corresponding hypergeometric equations as de...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2005
ISSN: 0377-0427
DOI: 10.1016/j.cam.2004.09.053